Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Discover a wealth of knowledge from professionals across various disciplines on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

A cylindrical container of three rubber balls has a height of 27 centimeters and a diameter of 9 centimeters. Each ball in the container has a radius of 4.5
centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number.

A Cylindrical Container Of Three Rubber Balls Has A Height Of 27 Centimeters And A Diameter Of 9 Centimeters Each Ball In The Container Has A Radius Of 45 Centi class=

Sagot :

Answer:

Volume of space in cylinder = 572.27 cm³ (Approx.)

Step-by-step explanation:

Given:

Height of cylinder = 27 cm

Diameter of cylinder = 9 cm

Radius of cylinder = 9 / 2 = 4.5 cm

Number of sphere ball = 3

Radius of sphere ball = 4.5 cm

Find:

Volume of space in cylinder

Computation:

Volume of space in cylinder = Volume of cylinder - Volume of 3ball

Volume of space in cylinder = πr²h - 3[(4/3)πr³]

Volume of space in cylinder = [22/7][4.5]²[27] - 3[(4/3)[22/7][4.5]³]

Volume of space in cylinder = [(3.14)(20.25)(27)] - [(4)(3.14)(91.125)]

Volume of space in cylinder = 1,716.795 - 1,144.53

Volume of space in cylinder = 572.265

Volume of space in cylinder = 572.27 cm³ (Approx.)

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.